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<li class="navelem"><a class="el" href="../../dir_d44c64559bbebec7f509842c48db8b23.html">include</a></li><li class="navelem"><a class="el" href="../../dir_e0f5f6345e438c73b9ae78ec2940718c.html">container</a></li>  </ul>
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  <div class="headertitle"><div class="title">scapegoat.hpp</div></div>
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<a href="../../df/d1c/scapegoat_8hpp.html">浏览该文件的文档.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno">    1</span><span class="preprocessor">#include &lt;algorithm&gt;</span></div>
<div class="line"><a id="l00002" name="l00002"></a><span class="lineno">    2</span><span class="preprocessor">#include &lt;cmath&gt;</span></div>
<div class="line"><a id="l00003" name="l00003"></a><span class="lineno">    3</span><span class="preprocessor">#include &lt;iostream&gt;</span></div>
<div class="line"><a id="l00004" name="l00004"></a><span class="lineno">    4</span><span class="preprocessor">#include &lt;vector&gt;</span></div>
<div class="line"><a id="l00005" name="l00005"></a><span class="lineno">    5</span> </div>
<div class="line"><a id="l00006" name="l00006"></a><span class="lineno">    6</span><span class="keyword">template</span> &lt;<span class="keyword">typename</span> KeyType&gt;</div>
<div class="foldopen" id="foldopen00007" data-start="{" data-end="};">
<div class="line"><a id="l00007" name="l00007"></a><span class="lineno"><a class="line" href="../../d5/d5e/class_scapegoat_tree.html">    7</a></span><span class="keyword">class </span><a class="code hl_class" href="../../d5/d5e/class_scapegoat_tree.html">ScapegoatTree</a> {</div>
<div class="line"><a id="l00008" name="l00008"></a><span class="lineno">    8</span><span class="keyword">public</span>:</div>
<div class="foldopen" id="foldopen00009" data-start="{" data-end="};">
<div class="line"><a id="l00009" name="l00009"></a><span class="lineno"><a class="line" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html">    9</a></span>    <span class="keyword">struct </span><a class="code hl_struct" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html">Node</a> {</div>
<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"><a class="line" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#a605137ee2d570faaff20025079ca1a5c">   10</a></span>        KeyType <a class="code hl_variable" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#a605137ee2d570faaff20025079ca1a5c">key</a>;</div>
<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"><a class="line" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#a6d2111f4a8b7d85d492038f010233c25">   11</a></span>        <span class="keywordtype">int</span> <a class="code hl_variable" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#a6d2111f4a8b7d85d492038f010233c25">size</a>;</div>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"><a class="line" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#ac9650b8693048be45c2b5008276b7c46">   12</a></span>        <a class="code hl_struct" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html">Node</a>* <a class="code hl_variable" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#ac9650b8693048be45c2b5008276b7c46">left</a>;</div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"><a class="line" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#a788d1092f6c8b46eeedbf1aba2607987">   13</a></span>        <a class="code hl_struct" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html">Node</a>* <a class="code hl_variable" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#a788d1092f6c8b46eeedbf1aba2607987">right</a>;</div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno">   14</span> </div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"><a class="line" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#ae0a0e29f9cc701d6653ef0bb1817ac03">   15</a></span>        <a class="code hl_function" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#ae0a0e29f9cc701d6653ef0bb1817ac03">Node</a>(<span class="keyword">const</span> KeyType&amp; k) : <a class="code hl_variable" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#a605137ee2d570faaff20025079ca1a5c">key</a>(k), <a class="code hl_variable" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#a6d2111f4a8b7d85d492038f010233c25">size</a>(1), <a class="code hl_variable" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#ac9650b8693048be45c2b5008276b7c46">left</a>(nullptr), <a class="code hl_variable" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#a788d1092f6c8b46eeedbf1aba2607987">right</a>(nullptr) {}</div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno">   16</span>    };</div>
</div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno">   17</span> </div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"><a class="line" href="../../d5/d5e/class_scapegoat_tree.html#a10607b150c608915669c7cc54f361bdf">   18</a></span>    <a class="code hl_function" href="../../d5/d5e/class_scapegoat_tree.html#a10607b150c608915669c7cc54f361bdf">ScapegoatTree</a>(<span class="keywordtype">double</span> alpha = 0.75) : root_(nullptr), alpha_(alpha) {}</div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno">   19</span> </div>
<div class="foldopen" id="foldopen00020" data-start="{" data-end="}">
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"><a class="line" href="../../d5/d5e/class_scapegoat_tree.html#a70f14933a834e3039c5794197991041a">   20</a></span>    <a class="code hl_function" href="../../d5/d5e/class_scapegoat_tree.html#a70f14933a834e3039c5794197991041a">~ScapegoatTree</a>() {</div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno">   21</span>        std::vector&lt;Node*&gt; stack;</div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno">   22</span>        <span class="keywordflow">if</span> (root_) stack.push_back(root_);</div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno">   23</span>        <span class="keywordflow">while</span> (!stack.empty()) {</div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno">   24</span>            <a class="code hl_struct" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html">Node</a>* node = stack.back();</div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno">   25</span>            stack.pop_back();</div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno">   26</span>            <span class="keywordflow">if</span> (node-&gt;<a class="code hl_variable" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#ac9650b8693048be45c2b5008276b7c46">left</a>) stack.push_back(node-&gt;<a class="code hl_variable" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#ac9650b8693048be45c2b5008276b7c46">left</a>);</div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno">   27</span>            <span class="keywordflow">if</span> (node-&gt;<a class="code hl_variable" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#a788d1092f6c8b46eeedbf1aba2607987">right</a>) stack.push_back(node-&gt;<a class="code hl_variable" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#a788d1092f6c8b46eeedbf1aba2607987">right</a>);</div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno">   28</span>            <span class="keyword">delete</span> node;</div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno">   29</span>        }</div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno">   30</span>    }</div>
</div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno">   31</span> </div>
<div class="foldopen" id="foldopen00032" data-start="{" data-end="}">
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"><a class="line" href="../../d5/d5e/class_scapegoat_tree.html#a63b60b745d8554a74b5b9463ffe3eba4">   32</a></span>    <span class="keywordtype">bool</span> <a class="code hl_function" href="../../d5/d5e/class_scapegoat_tree.html#a63b60b745d8554a74b5b9463ffe3eba4">Insert</a>(<span class="keyword">const</span> KeyType&amp; key) {</div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno">   33</span>        <a class="code hl_struct" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html">Node</a>* node = root_;</div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno">   34</span>        <a class="code hl_struct" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html">Node</a>* parent = <span class="keyword">nullptr</span>;</div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno">   35</span>        std::vector&lt;Node*&gt; path;</div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno">   36</span>        <span class="keywordflow">while</span> (node) {</div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno">   37</span>            parent = node;</div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno">   38</span>            path.push_back(node);</div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno">   39</span>            node-&gt;<a class="code hl_variable" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#a6d2111f4a8b7d85d492038f010233c25">size</a>++;</div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno">   40</span>            <span class="keywordflow">if</span> (key &lt; node-&gt;key) {</div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno">   41</span>                node = node-&gt;<a class="code hl_variable" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#ac9650b8693048be45c2b5008276b7c46">left</a>;</div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno">   42</span>            } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (node-&gt;<a class="code hl_variable" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#a605137ee2d570faaff20025079ca1a5c">key</a> &lt; key) {</div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno">   43</span>                node = node-&gt;<a class="code hl_variable" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#a788d1092f6c8b46eeedbf1aba2607987">right</a>;</div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno">   44</span>            } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno">   45</span>                <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno">   46</span>            }</div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno">   47</span>        }</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno">   48</span>        node = <span class="keyword">new</span> <a class="code hl_struct" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html">Node</a>(key);</div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno">   49</span>        <span class="keywordflow">if</span> (!parent) {</div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno">   50</span>            root_ = node;</div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno">   51</span>        } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (key &lt; parent-&gt;key) {</div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno">   52</span>            parent-&gt;<a class="code hl_variable" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#ac9650b8693048be45c2b5008276b7c46">left</a> = node;</div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno">   53</span>        } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno">   54</span>            parent-&gt;<a class="code hl_variable" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#a788d1092f6c8b46eeedbf1aba2607987">right</a> = node;</div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno">   55</span>        }</div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno">   56</span>        path.push_back(node);</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno">   57</span>        <span class="keywordflow">if</span> (ComputeAlpha(path) &gt; alpha_) {</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno">   58</span>            Rebuild(path);</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno">   59</span>        }</div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno">   60</span>        <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno">   61</span>    }</div>
</div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno">   62</span> </div>
<div class="foldopen" id="foldopen00063" data-start="{" data-end="}">
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"><a class="line" href="../../d5/d5e/class_scapegoat_tree.html#a72ca4294f45490494840d7394ce0e333">   63</a></span>    <span class="keywordtype">bool</span> <a class="code hl_function" href="../../d5/d5e/class_scapegoat_tree.html#a72ca4294f45490494840d7394ce0e333">Delete</a>(<span class="keyword">const</span> KeyType&amp; key) {</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno">   64</span>        <a class="code hl_struct" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html">Node</a>* node = root_;</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno">   65</span>        <a class="code hl_struct" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html">Node</a>* parent = <span class="keyword">nullptr</span>;</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno">   66</span>        std::vector&lt;Node*&gt; path;</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno">   67</span>        <span class="keywordflow">while</span> (node) {</div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno">   68</span>            path.push_back(node);</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno">   69</span>            <span class="keywordflow">if</span> (key &lt; node-&gt;key) {</div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno">   70</span>                parent = node;</div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno">   71</span>                node = node-&gt;<a class="code hl_variable" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#ac9650b8693048be45c2b5008276b7c46">left</a>;</div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno">   72</span>            } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (node-&gt;<a class="code hl_variable" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#a605137ee2d570faaff20025079ca1a5c">key</a> &lt; key) {</div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno">   73</span>                parent = node;</div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno">   74</span>                node = node-&gt;<a class="code hl_variable" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#a788d1092f6c8b46eeedbf1aba2607987">right</a>;</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno">   75</span>            } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno">   76</span>                <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno">   77</span>            }</div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno">   78</span>        }</div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno">   79</span>        <span class="keywordflow">if</span> (!node) {</div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno">   80</span>            <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno">   81</span>        }</div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno">   82</span>        <span class="keywordflow">if</span> (node-&gt;<a class="code hl_variable" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#ac9650b8693048be45c2b5008276b7c46">left</a> &amp;&amp; node-&gt;<a class="code hl_variable" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#a788d1092f6c8b46eeedbf1aba2607987">right</a>) {</div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno">   83</span>            <a class="code hl_struct" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html">Node</a>* min_node = node-&gt;<a class="code hl_variable" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#a788d1092f6c8b46eeedbf1aba2607987">right</a>;</div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno">   84</span>            <span class="keywordflow">while</span> (min_node-&gt;<a class="code hl_variable" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#ac9650b8693048be45c2b5008276b7c46">left</a>) {</div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno">   85</span>                min_node-&gt;<a class="code hl_variable" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#a6d2111f4a8b7d85d492038f010233c25">size</a>--;</div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno">   86</span>                path.push_back(min_node);</div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno">   87</span>                min_node = min_node-&gt;<a class="code hl_variable" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#ac9650b8693048be45c2b5008276b7c46">left</a>;</div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno">   88</span>            }</div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno">   89</span>            node-&gt;<a class="code hl_variable" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#a605137ee2d570faaff20025079ca1a5c">key</a> = min_node-&gt;<a class="code hl_variable" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#a605137ee2d570faaff20025079ca1a5c">key</a>;</div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno">   90</span>            node = min_node;</div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno">   91</span>            parent = path.empty() ? nullptr : path.back();</div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno">   92</span>        }</div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno">   93</span>        <a class="code hl_struct" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html">Node</a>* child = node-&gt;<a class="code hl_variable" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#ac9650b8693048be45c2b5008276b7c46">left</a> ? node-&gt;<a class="code hl_variable" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#ac9650b8693048be45c2b5008276b7c46">left</a> : node-&gt;<a class="code hl_variable" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#a788d1092f6c8b46eeedbf1aba2607987">right</a>;</div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno">   94</span>        <span class="keywordflow">if</span> (!parent) {</div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno">   95</span>            root_ = child;</div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno">   96</span>        } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (node == parent-&gt;<a class="code hl_variable" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#ac9650b8693048be45c2b5008276b7c46">left</a>) {</div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno">   97</span>            parent-&gt;<a class="code hl_variable" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#ac9650b8693048be45c2b5008276b7c46">left</a> = child;</div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno">   98</span>        } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno">   99</span>            parent-&gt;<a class="code hl_variable" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#a788d1092f6c8b46eeedbf1aba2607987">right</a> = child;</div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno">  100</span>        }</div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno">  101</span>        <span class="keywordflow">while</span> (!path.empty()) {</div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno">  102</span>            <a class="code hl_struct" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html">Node</a>* cur_node = path.back();</div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno">  103</span>            path.pop_back();</div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno">  104</span>            cur_node-&gt;<a class="code hl_variable" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#a6d2111f4a8b7d85d492038f010233c25">size</a>--;</div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno">  105</span>            <span class="keywordflow">if</span> (ComputeAlpha(path) &gt; alpha_) {</div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno">  106</span>                Rebuild(path);</div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno">  107</span>            }</div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno">  108</span>        }</div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno">  109</span>        <span class="keyword">delete</span> node;</div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno">  110</span>        <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno">  111</span>    }</div>
</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno">  112</span> </div>
<div class="foldopen" id="foldopen00113" data-start="{" data-end="}">
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"><a class="line" href="../../d5/d5e/class_scapegoat_tree.html#a6115121ce8a6b54abb09f1c63df73c22">  113</a></span>    <span class="keywordtype">bool</span> <a class="code hl_function" href="../../d5/d5e/class_scapegoat_tree.html#a6115121ce8a6b54abb09f1c63df73c22">Search</a>(<span class="keyword">const</span> KeyType&amp; key)<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno">  114</span>        <a class="code hl_struct" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html">Node</a>* node = root_;</div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno">  115</span>        <span class="keywordflow">while</span> (node) {</div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno">  116</span>            <span class="keywordflow">if</span> (key &lt; node-&gt;key) {</div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno">  117</span>                node = node-&gt;<a class="code hl_variable" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#ac9650b8693048be45c2b5008276b7c46">left</a>;</div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno">  118</span>            } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (node-&gt;<a class="code hl_variable" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#a605137ee2d570faaff20025079ca1a5c">key</a> &lt; key) {</div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno">  119</span>                node = node-&gt;<a class="code hl_variable" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#a788d1092f6c8b46eeedbf1aba2607987">right</a>;</div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno">  120</span>            } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno">  121</span>                <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno">  122</span>            }</div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno">  123</span>        }</div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno">  124</span>        <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno">  125</span>    }</div>
</div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno">  126</span> </div>
<div class="foldopen" id="foldopen00127" data-start="{" data-end="}">
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"><a class="line" href="../../d5/d5e/class_scapegoat_tree.html#a97b9e341eb6279b06ed793b0a1a99592">  127</a></span>    <span class="keywordtype">int</span> <a class="code hl_function" href="../../d5/d5e/class_scapegoat_tree.html#a97b9e341eb6279b06ed793b0a1a99592">Rank</a>(<span class="keyword">const</span> KeyType&amp; key)<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno">  128</span>        <a class="code hl_struct" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html">Node</a>* node = root_;</div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno">  129</span>        <span class="keywordtype">int</span> rank = 0;</div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno">  130</span>        <span class="keywordflow">while</span> (node) {</div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno">  131</span>            <span class="keywordflow">if</span> (key &lt; node-&gt;key) {</div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno">  132</span>                node = node-&gt;<a class="code hl_variable" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#ac9650b8693048be45c2b5008276b7c46">left</a>;</div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno">  133</span>            } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno">  134</span>                rank += (node-&gt;<a class="code hl_variable" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#ac9650b8693048be45c2b5008276b7c46">left</a> ? node-&gt;<a class="code hl_variable" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#ac9650b8693048be45c2b5008276b7c46">left</a>-&gt;<a class="code hl_variable" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#a6d2111f4a8b7d85d492038f010233c25">size</a> : 0) + 1;</div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno">  135</span>                <span class="keywordflow">if</span> (node-&gt;<a class="code hl_variable" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#a605137ee2d570faaff20025079ca1a5c">key</a> &lt; key) {</div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno">  136</span>                    node = node-&gt;<a class="code hl_variable" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#a788d1092f6c8b46eeedbf1aba2607987">right</a>;</div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno">  137</span>                } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno">  138</span>                    <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno">  139</span>                }</div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno">  140</span>            }</div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno">  141</span>        }</div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno">  142</span>        <span class="keywordflow">return</span> rank;</div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno">  143</span>    }</div>
</div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno">  144</span> </div>
<div class="foldopen" id="foldopen00145" data-start="{" data-end="}">
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"><a class="line" href="../../d5/d5e/class_scapegoat_tree.html#aabd4627f9bb1ad33c14e5a5b2546023d">  145</a></span>    KeyType <a class="code hl_function" href="../../d5/d5e/class_scapegoat_tree.html#aabd4627f9bb1ad33c14e5a5b2546023d">Select</a>(<span class="keywordtype">int</span> rank)<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno">  146</span>        <a class="code hl_struct" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html">Node</a>* node = root_;</div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno">  147</span>        <span class="keywordflow">while</span> (node) {</div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno">  148</span>            <span class="keywordtype">int</span> left_size = node-&gt;<a class="code hl_variable" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#ac9650b8693048be45c2b5008276b7c46">left</a> ? node-&gt;<a class="code hl_variable" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#ac9650b8693048be45c2b5008276b7c46">left</a>-&gt;<a class="code hl_variable" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#a6d2111f4a8b7d85d492038f010233c25">size</a> : 0;</div>
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno">  149</span>            <span class="keywordflow">if</span> (rank &lt; left_size) {</div>
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno">  150</span>                node = node-&gt;<a class="code hl_variable" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#ac9650b8693048be45c2b5008276b7c46">left</a>;</div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno">  151</span>            } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (rank == left_size) {</div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno">  152</span>                <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno">  153</span>            } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno">  154</span>                rank -= left_size + 1;</div>
<div class="line"><a id="l00155" name="l00155"></a><span class="lineno">  155</span>                node = node-&gt;<a class="code hl_variable" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#a788d1092f6c8b46eeedbf1aba2607987">right</a>;</div>
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno">  156</span>            }</div>
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno">  157</span>        }</div>
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno">  158</span>        <span class="keywordflow">return</span> node-&gt;<a class="code hl_variable" href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#a605137ee2d570faaff20025079ca1a5c">key</a>;</div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno">  159</span>    }</div>
</div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno">  160</span> </div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno">  161</span><span class="keyword">private</span>:</div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno">  162</span>    Node* root_;</div>
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno">  163</span>    <span class="keywordtype">double</span> alpha_;</div>
<div class="line"><a id="l00164" name="l00164"></a><span class="lineno">  164</span> </div>
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno">  165</span>    <span class="keywordtype">double</span> ComputeAlpha(<span class="keyword">const</span> std::vector&lt;Node*&gt;&amp; path)<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno">  166</span>        <span class="keywordtype">int</span> size = path.back()-&gt;size;</div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno">  167</span>        <span class="keywordtype">int</span> depth = path.size();</div>
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno">  168</span>        <span class="keywordtype">double</span> log_alpha = std::log(1.0 / alpha_);</div>
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno">  169</span>        <span class="keywordtype">double</span> log_size = std::log(size);</div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno">  170</span>        <span class="keywordflow">return</span> log_size / log_alpha / depth;</div>
<div class="line"><a id="l00171" name="l00171"></a><span class="lineno">  171</span>    }</div>
<div class="line"><a id="l00172" name="l00172"></a><span class="lineno">  172</span> </div>
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno">  173</span>    <span class="keywordtype">void</span> Rebuild(<span class="keyword">const</span> std::vector&lt;Node*&gt;&amp; path) {</div>
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno">  174</span>        Node* node = path.back();</div>
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno">  175</span>        std::vector&lt;Node*&gt; nodes;</div>
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno">  176</span>        Flatten(node, nodes);</div>
<div class="line"><a id="l00177" name="l00177"></a><span class="lineno">  177</span>        <span class="keywordtype">int</span> size = nodes.size();</div>
<div class="line"><a id="l00178" name="l00178"></a><span class="lineno">  178</span>        <span class="keywordtype">int</span> mid = size / 2;</div>
<div class="line"><a id="l00179" name="l00179"></a><span class="lineno">  179</span>        root_ = nodes[mid];</div>
<div class="line"><a id="l00180" name="l00180"></a><span class="lineno">  180</span>        root_-&gt;size = size;</div>
<div class="line"><a id="l00181" name="l00181"></a><span class="lineno">  181</span>        root_-&gt;left = Build(nodes, 0, mid - 1);</div>
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno">  182</span>        root_-&gt;right = Build(nodes, mid + 1, size - 1);</div>
<div class="line"><a id="l00183" name="l00183"></a><span class="lineno">  183</span>    }</div>
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno">  184</span> </div>
<div class="line"><a id="l00185" name="l00185"></a><span class="lineno">  185</span>    <span class="keywordtype">void</span> Flatten(Node* node, std::vector&lt;Node*&gt;&amp; nodes)<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00186" name="l00186"></a><span class="lineno">  186</span>        <span class="keywordflow">if</span> (node-&gt;left) Flatten(node-&gt;left, nodes);</div>
<div class="line"><a id="l00187" name="l00187"></a><span class="lineno">  187</span>        nodes.push_back(node);</div>
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno">  188</span>        <span class="keywordflow">if</span> (node-&gt;right) Flatten(node-&gt;right, nodes);</div>
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno">  189</span>    }</div>
<div class="line"><a id="l00190" name="l00190"></a><span class="lineno">  190</span> </div>
<div class="line"><a id="l00191" name="l00191"></a><span class="lineno">  191</span>    Node* Build(<span class="keyword">const</span> std::vector&lt;Node*&gt;&amp; nodes, <span class="keywordtype">int</span> left, <span class="keywordtype">int</span> right) {</div>
<div class="line"><a id="l00192" name="l00192"></a><span class="lineno">  192</span>        <span class="keywordflow">if</span> (left &gt; right) {</div>
<div class="line"><a id="l00193" name="l00193"></a><span class="lineno">  193</span>            <span class="keywordflow">return</span> <span class="keyword">nullptr</span>;</div>
<div class="line"><a id="l00194" name="l00194"></a><span class="lineno">  194</span>        }</div>
<div class="line"><a id="l00195" name="l00195"></a><span class="lineno">  195</span>        <span class="keywordtype">int</span> mid = (left + right) / 2;</div>
<div class="line"><a id="l00196" name="l00196"></a><span class="lineno">  196</span>        Node* node = nodes[mid];</div>
<div class="line"><a id="l00197" name="l00197"></a><span class="lineno">  197</span>        node-&gt;left = Build(nodes, left, mid - 1);</div>
<div class="line"><a id="l00198" name="l00198"></a><span class="lineno">  198</span>        node-&gt;right = Build(nodes, mid + 1, right);</div>
<div class="line"><a id="l00199" name="l00199"></a><span class="lineno">  199</span>        node-&gt;size = 1;</div>
<div class="line"><a id="l00200" name="l00200"></a><span class="lineno">  200</span>        <span class="keywordflow">if</span> (node-&gt;left) node-&gt;size += node-&gt;left-&gt;size;</div>
<div class="line"><a id="l00201" name="l00201"></a><span class="lineno">  201</span>        <span class="keywordflow">if</span> (node-&gt;right) node-&gt;size += node-&gt;right-&gt;size;</div>
<div class="line"><a id="l00202" name="l00202"></a><span class="lineno">  202</span>        <span class="keywordflow">return</span> node;</div>
<div class="line"><a id="l00203" name="l00203"></a><span class="lineno">  203</span>    }</div>
<div class="line"><a id="l00204" name="l00204"></a><span class="lineno">  204</span>};</div>
</div>
<div class="ttc" id="aclass_scapegoat_tree_html"><div class="ttname"><a href="../../d5/d5e/class_scapegoat_tree.html">ScapegoatTree</a></div><div class="ttdef"><b>定义</b> <a href="#l00007">scapegoat.hpp:7</a></div></div>
<div class="ttc" id="aclass_scapegoat_tree_html_a10607b150c608915669c7cc54f361bdf"><div class="ttname"><a href="../../d5/d5e/class_scapegoat_tree.html#a10607b150c608915669c7cc54f361bdf">ScapegoatTree::ScapegoatTree</a></div><div class="ttdeci">ScapegoatTree(double alpha=0.75)</div><div class="ttdef"><b>定义</b> <a href="#l00018">scapegoat.hpp:18</a></div></div>
<div class="ttc" id="aclass_scapegoat_tree_html_a6115121ce8a6b54abb09f1c63df73c22"><div class="ttname"><a href="../../d5/d5e/class_scapegoat_tree.html#a6115121ce8a6b54abb09f1c63df73c22">ScapegoatTree::Search</a></div><div class="ttdeci">bool Search(const KeyType &amp;key) const</div><div class="ttdef"><b>定义</b> <a href="#l00113">scapegoat.hpp:113</a></div></div>
<div class="ttc" id="aclass_scapegoat_tree_html_a63b60b745d8554a74b5b9463ffe3eba4"><div class="ttname"><a href="../../d5/d5e/class_scapegoat_tree.html#a63b60b745d8554a74b5b9463ffe3eba4">ScapegoatTree::Insert</a></div><div class="ttdeci">bool Insert(const KeyType &amp;key)</div><div class="ttdef"><b>定义</b> <a href="#l00032">scapegoat.hpp:32</a></div></div>
<div class="ttc" id="aclass_scapegoat_tree_html_a70f14933a834e3039c5794197991041a"><div class="ttname"><a href="../../d5/d5e/class_scapegoat_tree.html#a70f14933a834e3039c5794197991041a">ScapegoatTree::~ScapegoatTree</a></div><div class="ttdeci">~ScapegoatTree()</div><div class="ttdef"><b>定义</b> <a href="#l00020">scapegoat.hpp:20</a></div></div>
<div class="ttc" id="aclass_scapegoat_tree_html_a72ca4294f45490494840d7394ce0e333"><div class="ttname"><a href="../../d5/d5e/class_scapegoat_tree.html#a72ca4294f45490494840d7394ce0e333">ScapegoatTree::Delete</a></div><div class="ttdeci">bool Delete(const KeyType &amp;key)</div><div class="ttdef"><b>定义</b> <a href="#l00063">scapegoat.hpp:63</a></div></div>
<div class="ttc" id="aclass_scapegoat_tree_html_a97b9e341eb6279b06ed793b0a1a99592"><div class="ttname"><a href="../../d5/d5e/class_scapegoat_tree.html#a97b9e341eb6279b06ed793b0a1a99592">ScapegoatTree::Rank</a></div><div class="ttdeci">int Rank(const KeyType &amp;key) const</div><div class="ttdef"><b>定义</b> <a href="#l00127">scapegoat.hpp:127</a></div></div>
<div class="ttc" id="aclass_scapegoat_tree_html_aabd4627f9bb1ad33c14e5a5b2546023d"><div class="ttname"><a href="../../d5/d5e/class_scapegoat_tree.html#aabd4627f9bb1ad33c14e5a5b2546023d">ScapegoatTree::Select</a></div><div class="ttdeci">KeyType Select(int rank) const</div><div class="ttdef"><b>定义</b> <a href="#l00145">scapegoat.hpp:145</a></div></div>
<div class="ttc" id="astruct_scapegoat_tree_1_1_node_html"><div class="ttname"><a href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html">ScapegoatTree::Node</a></div><div class="ttdef"><b>定义</b> <a href="#l00009">scapegoat.hpp:9</a></div></div>
<div class="ttc" id="astruct_scapegoat_tree_1_1_node_html_a605137ee2d570faaff20025079ca1a5c"><div class="ttname"><a href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#a605137ee2d570faaff20025079ca1a5c">ScapegoatTree::Node::key</a></div><div class="ttdeci">KeyType key</div><div class="ttdef"><b>定义</b> <a href="#l00010">scapegoat.hpp:10</a></div></div>
<div class="ttc" id="astruct_scapegoat_tree_1_1_node_html_a6d2111f4a8b7d85d492038f010233c25"><div class="ttname"><a href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#a6d2111f4a8b7d85d492038f010233c25">ScapegoatTree::Node::size</a></div><div class="ttdeci">int size</div><div class="ttdef"><b>定义</b> <a href="#l00011">scapegoat.hpp:11</a></div></div>
<div class="ttc" id="astruct_scapegoat_tree_1_1_node_html_a788d1092f6c8b46eeedbf1aba2607987"><div class="ttname"><a href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#a788d1092f6c8b46eeedbf1aba2607987">ScapegoatTree::Node::right</a></div><div class="ttdeci">Node * right</div><div class="ttdef"><b>定义</b> <a href="#l00013">scapegoat.hpp:13</a></div></div>
<div class="ttc" id="astruct_scapegoat_tree_1_1_node_html_ac9650b8693048be45c2b5008276b7c46"><div class="ttname"><a href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#ac9650b8693048be45c2b5008276b7c46">ScapegoatTree::Node::left</a></div><div class="ttdeci">Node * left</div><div class="ttdef"><b>定义</b> <a href="#l00012">scapegoat.hpp:12</a></div></div>
<div class="ttc" id="astruct_scapegoat_tree_1_1_node_html_ae0a0e29f9cc701d6653ef0bb1817ac03"><div class="ttname"><a href="../../d8/d6d/struct_scapegoat_tree_1_1_node.html#ae0a0e29f9cc701d6653ef0bb1817ac03">ScapegoatTree::Node::Node</a></div><div class="ttdeci">Node(const KeyType &amp;k)</div><div class="ttdef"><b>定义</b> <a href="#l00015">scapegoat.hpp:15</a></div></div>
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